What is 17/38 Divided By 6/3

Solving $\frac{17}{38}\div\frac{6}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{38} \div \frac{6}{3} = \frac{17}{38} \times \frac{3}{6}$

• Multiply the Numerators: $17 \times 3 = 51$
• Multiply the Denominators: $38 \times 6 = 228$
• Form the New Fraction: $\frac{17}{38} \times \frac{6}{3} = \frac{51}{228}$

Let's Simplify $\frac{51}{228}$

• Find the Greatest Common Divisor (GCD) of $51$ and $228$. The GCD of $51$ and $228$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{51 \div 3}{228 \div 3} = \frac{17}{76}$

Answer $\frac{17}{38}\div\frac{6}{3} = \frac{17}{76}$

The following animation demonstrates the divide-by,